A Sample Space Contains Three Outcomes, A, B, and C $P ( \mathrm {~A} ) = 0.2 \quad P ( \mathrm {~B} ) = 0.4 \quad P ( \mathrm { C } ) = 0.6$

question 102

Multiple Choice

A sample space contains three outcomes, A, B, and C. Which of the following could be a legitimate assignment of probabilities to the outcomes?

• A) \(P ( \mathrm {~A} ) = 0.2 \quad P ( \mathrm {~B} ) = 0.4 \quad P ( \mathrm { C } ) = 0.6\)
• B) \(P ( \mathrm {~A} ) = 0.2 \quad P ( \mathrm {~B} ) = 0.2 \quad P ( \mathrm { C } ) = 0.6\)
• C) \(P ( A ) = 2 \quad P ( B ) = 3 \quad P ( C ) = 1\)
• D) \(P ( \mathrm {~A} ) = 0.3 \quad P ( \mathrm {~B} ) = 0.3 \quad P ( \mathrm { C } ) = 0.3\)

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Definitions:

Dominant Strategy

A strategy in game theory that is the best for a player, regardless of what strategies other players follow.

Wealth

The abundance of valuable resources or material possessions one owns or has control over.

Contribute

To give or supply in common with others; giving assistance or support.

Benefit

The advantage or positive outcome gained from an action, investment, or decision.